Common diagonal Lyapunov function for third order linear switched system
Özet
Consider the stability problem for the following linear switched system (differential inclusion) (x) over dot = Ax, A is an element of {A1, A2, . . . , A(N)}. Here A(i) (i = 1, 2, . . . . N) are n x n dimensional Hurwitz stable real matrices. In this study for this system we investigate the problem of the existence and construction of a common diagonal Lyapunov function of the form V(x) = x(T) Dx where D is a positive diagonal matrix. In the case of n = 3, i.e. third order system, we suggest a simple elimination algorithm which gives a common Din the case of existence
